多层次复杂系统的资源优化配置方法  

A resource optimized allocation method of multi-level complex system

作　　者：马占新[1] 曹莉[2,3] 包斯琴高娃 MA Zhanxin;CAO Li;BAO Siqin＇gaowa(School of Economics and Management,Inner Mongolia University,Hohhot 010021,China;School of Mathematics Science,Inner Mongolia University,Hohhot 010021,China;College of Computer and Information,Inner Mongolia Medical University,Hohhot 010110,China;School of Science,Inner Mongolia University of Technology,Hohhot 010051,China)

机构地区：[1]内蒙古大学经济管理学院,呼和浩特010021 [2]内蒙古大学数学科学学院,呼和浩特010021 [3]内蒙古医科大学计算机信息学院,呼和浩特010110 [4]内蒙古工业大学理学院,呼和浩特010051

出　　处：《系统工程理论与实践》2018年第7期1802-1818,共17页Systems Engineering-Theory & Practice

基　　金：国家自然科学基金(71661025,71261017);内蒙古自然科学基金(2016MS0705);内蒙古草原英才项目(12000-12102012);内蒙古医科大学青年创新基金(YKD2015QNCX007)~~

摘　　要：数据包络分析（data envelopment analysis,DEA）是一种重要的效率评价方法,特别适合复杂系统的评价问题.但由于复杂系统指标体系的复杂性使得DEA方法在评价复杂系统效率问题时也遇到了一些无法回避的困难,主要表现在评价结果过于强调次要指标的作用、常常出现多数单元有效、对投影的要求过于苛刻、指标集成后无法找到针对原始指标的改进信息等.为了解决上述问题,给出了一种用于复杂系统评价的数据包络分析模型,并对相应的DEA有效性含义、模型性质以及模型的求解方法等进行了探讨.通过实例比较可以看出,本文方法不仅具有传统DEA方法的优点,而且还很好地克服了上述缺点.Data envelopment analysis （DEA） is an important efficiency evaluation method, and it is especially suitable for analyzing the complex systems. However, DEA method also has some disadvantages that cannot be overcome in practical application because of the complexity of index system. It mainly shows in the following aspects. Firstly, the evaluation result may excessively emphasize the secondary index function. Secondly, it often appears that most units are effective. Thirdly, the requirement to projection is too high. Fourthly, It can＇t find the improvement information for the original indexes. In order to solve above problem, a data envelopment analysis model for evaluating complex systems is given. The meaning of DEA efficiency, properties and solving method of this model are also discussed. By the comparison of examples, it can be found that the above model not only has the advantages of the traditional DEA method, but also overcomes the shortcomings of the traditional method.

关 键 词：综合评价 多目标决策 数据包络分析 样本单元 指标集成 

分 类 号：N94[自然科学总论—系统科学]